采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: !1ED~3/X
%Display the Zernike function Z(n=5,m=1) v61[.oS
clc v&=gF/$
clear ZSG9t2qlv
a=5;%%%%%%%%%%Z的阶数下标 xftBSdVE
b=1;%%%%%%%%%%Z的阶数的上标 A -b
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x = -1:0.01:1; 0:T|S>FsAm
[X,Y] = meshgrid(x,x); T87m?a$
[theta,r] = cart2pol(X,Y); ' hs2RSq
idx = r<=1; {QwHc5Bf
z = nan(size(X)); sIxTG y.
z(idx) = zernfun(a,b,r(idx),theta(idx)); 'L8'
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figure(1) ROous4 MG
pcolor(x,x,z), shading interp 4 XAQVq5
axis square, colorbar ?W)A
xlabel('X'); h]TQn)X]
ylabel('Y'); [Lzw#XE
title(['Zernike function Z^a_b','(r,\theta)']) Wh.?j>vB
figure(2) oIduxbAp
mesh(x,x,z) fc
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xlabel('X'); yI"6Da6|y
ylabel('Y'); 0`[wpZ
title(['Zernike function Z^a_b','(r,\theta)'])